Question

14. The velocity of the centre of mass of a solid sphere
of radius R rotating with angular velocity about
an axis passing through its centre of mass is
[NCERT Pg. 148]
(2)
RO
2
(3) 2 RED
(4) Zero
19​

Answer 1

Answer:

The answer is 0

Explanation:

we assume the axis of rotation to be at rest, so the velocity will be 0

Answer 2

The correct answer is Rω.

Explanation:

• The velocity of the centre of mass of a solid sphere of radius R rotating with angular velocity about an axis passing through its centre of mass is Rω.
• Centre of mass of a two-particle system; momentum conservation and centre of mass motion.
• The center of mass of a sphere is the is the unique point where the weighted relative position of the distributed mass sums to zero, or the point where if a force is applied it moves in the direction of the force without rotating.
• The position of that point depends on the way the mass is distributed through the sphere.